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DTSTART:20260329T030000
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DTSTAMP:20260615T181807Z
UID:6a1e9cbf6f336379210386@ist.ac.at
DTSTART:20260623T161500
DTEND:20260623T171500
DESCRIPTION:Speaker: Filippo Quattrocchi\nhosted by Jan Maas\nAbstract: Man
 y evolutionary PDEs\, both linear and nonlinear (e.g.\, the heat and porou
 s medium equations)\, can be seen as gradient flows in the Wasserstein met
 ric space of probability measures. This classical result provides general 
 tools for existence\, numerical approximation\, uniqueness\, and convergen
 ce estimates under weak assumptions. In this talk\, we extend this perspec
 tive to dynamics driven by an interplay of conservative and dissipative ef
 fects.Our main result is the interpretation of the nonlinear kinetic Fokke
 r-Planck equation as a gradient flow of the free energy in a suitable spac
 e of measures. The geometry of this space is physically motivated\, induce
 d by discrepancies that measure the minimal force needed to steer one conf
 iguration into another. As a consequence\, we obtain approximations of sol
 utions via an implicit Euler scheme.This talk is based on arXiv:2502.15665
 \, in collaboration with G. Brigati (ISTA) and J. Maas (ISTA)\, and ongoin
 g work with G. Brigati (ISTA)\, G. Carlier (CEREMADE\, Paris Dauphine-PSL)
 \, and J. Dolbeault (CEREMADE\, Paris Dauphine-PSL).
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Filippo Quattrocchi: Nonlinear kinetic equations as gradient flows
URL:https://talks-calendar.ista.ac.at/events/6520
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